Effective actions for anomalous hydrodynamics

Haehl, Felix M.; Loganayagam, R.; Rangamani, Mukund

doi:10.1007/jhep03(2014)034

“…We will leave its discussion and the full evaluation of (1.7) elsewhere. Hydrodynamical actions based on doubled X a degrees of freedom discussed here have also been discussed recently in [16][17][18][19][20][21]. We also show that at zeroth order in the derivative expansion, if one (i) takesh 1 to the horizon, i.e.…”

Section: Jhep02(2016)124supporting

confidence: 72%

Off-shell hydrodynamics from holography

Crossley

¹

,

Glorioso

²

,

Liu

³

et al. 2016

J. High Energ. Phys.

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We outline a program for obtaining an action principle for dissipative fluid dynamics by considering the holographic Wilsonian renormalization group applied to systems with a gravity dual. As a first step, in this paper we restrict to systems with a non-dissipative horizon. By integrating out gapped degrees of freedom in the bulk gravitational system between an asymptotic boundary and a horizon, we are led to a formulation of hydrodynamics where the dynamical variables are not standard velocity and temperature fields, but the relative embedding of the boundary and horizon hypersurfaces. At zeroth order, this action reduces to that proposed by Dubovsky et al. as an off-shell formulation of ideal fluid dynamics.

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“…In terms of the scalar ψ the corresponding conserved current appears to be a Noether current conserved only with account of equations of motion of the ideal liquid, or on mass shell. In Ref [13] this programm was realized also in case of anomalous axial current which we considered in the preceding section.…”

Section: Conservation Of Axal Chargementioning

confidence: 96%

“…For this purpose, it is crucial to use the so called entropy frame [13,14] where the entropy current (15) takes the form:…”

Section: Conservation Of Axal Chargementioning

confidence: 99%

Chiral liquids

Захаров

¹

2015

EPJ Web of Conferences

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Abstract. We review briefly properties of chiral liquids, or liquids with massless fermionic constituents. We concentrate on three effects, namely, the low ratio of viscosity η to entropy density s, chiral magnetic and vortical effects. We sketch standard derivations of these effects in the hydrodynamic approximation and then concentrate on possibile unifying approach which is based on consideration of the (anomalously) conserved axial current. The point is that the conservation of chirality is specific for the microscopic, field-theoretic description of massless fermions and their interactions. On the macroscopic side, the standard hydrodynamic equations are not consistent, generally speaking, with conservation of a helical macroscopic motion. Imposing extra constraints on the hydrodynamics might resolve this "clash-of-symmetries" paradox.

show abstract

“…In terms of the scalar ψ the corresponding conserved current appears to be a Noether current conserved only with account of equations of motion of the ideal liquid, or on mass shell. In Ref [13] this programm was realized also in case of anomalous axial current which we considered in the preceding section. For this purpose, it is crucial to use the so called entropy frame [13,14] where the entropy current (15) takes the form:…”

Section: Conservation Of Axal Chargementioning

confidence: 96%

Chiral liquids

Захаров

¹

2015

EPJ Web of Conferences

2

0

View full text Add to dashboard Cite

Abstract. We review briefly properties of chiral liquids, or liquids with massless fermionic constituents. We concentrate on three effects, namely, the low ratio of viscosity η to entropy density s, chiral magnetic and vortical effects. We sketch standard derivations of these effects in the hydrodynamic approximation and then concentrate on possibile unifying approach which is based on consideration of the (anomalously) conserved axial current. The point is that the conservation of chirality is specific for the microscopic, field-theoretic description of massless fermions and their interactions. On the macroscopic side, the standard hydrodynamic equations are not consistent, generally speaking, with conservation of a helical macroscopic motion. Imposing extra constraints on the hydrodynamics might resolve this "clash-of-symmetries" paradox.

show abstract

Effective actions for anomalous hydrodynamics

Cited by 66 publications

References 113 publications

Off-shell hydrodynamics from holography

Off-shell hydrodynamics from holography

Chiral liquids

Chiral liquids

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